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106367 is a prime number
BaseRepresentation
bin11001111101111111
312101220112
4121331333
511400432
62140235
7622052
oct317577
9171815
10106367
1172a08
125167b
1339551
142aa99
15217b2
hex19f7f

106367 has 2 divisors, whose sum is σ = 106368. Its totient is φ = 106366.

The previous prime is 106363. The next prime is 106373. The reversal of 106367 is 763601.

Adding to 106367 its reverse (763601), we get a palindrome (869968).

It is a weak prime.

It is an emirp because it is prime and its reverse (763601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106367 - 22 = 106363 is a prime.

It is a super-2 number, since 2×1063672 = 22627877378, which contains 22 as substring.

It is a Chen prime.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106367.

It is not a weakly prime, because it can be changed into another prime (106363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53183 + 53184.

It is an arithmetic number, because the mean of its divisors is an integer number (53184).

2106367 is an apocalyptic number.

106367 is a deficient number, since it is larger than the sum of its proper divisors (1).

106367 is an equidigital number, since it uses as much as digits as its factorization.

106367 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 106367 is about 326.1395406877. The cubic root of 106367 is about 47.3807906401.

The spelling of 106367 in words is "one hundred six thousand, three hundred sixty-seven".